Not in Canada. Quebec had been invited to join the Revolution but declined. The Continental Congress also considered inviting (what we know today as) the Maritime Provinces but nothing was ever done.
At the end of the Revolution, Americans who had remained loyal to the British crown were invited to relocate to Canada on promise of free land in payment for services rendered. Many thousands took up the offer, so that within the 1780-1800 timeframe, a very significant portion of the population of Canada were people who had already fought against a Revolution, and thus had no interest in rebelling.
Australia didn't really have a colonial population at the time of the Revolution. The "First Fleet" of colonists arrived in 1787, several years after the American Revolution had concluded.